Question

solve the linear system by graphing x+3y=2 and 3x+9y=6

Answer 1

Not by graphing oops

Answer 2

Answer is 2-3k, k

Answer 3

Each one is the equation of a straight line.

x+3y=2
3x-9y=6
multiply first by 3 and add
3x+9y=6
3x–9y=6
6x = 12
x = 2
2+3y=2
y = 0

so they are two lines intersecting at x=2 and y=0

Answer 4

so, 2-3k = 2 and k = 0

Answer 5

They are both addition equations

Answer 6

ya

Answer 7

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Answer 8

There is no negative 9

Answer 9

yeah, thats incorrect

x+3y = 2
3x + 9y = 6

so

x+3y = 2
-x - 3y = -6

0 = -6
no solutions

Answer 10

The answer is 2-3k,k

Answer 11

Where k is a set of real numbers

Answer 12

okay, then

x = 2 - 3y

3(2-3y) +9y = 6
6 - 9y + 9y = 6
6 = 6

All real numbers.
If you graph them they are the same line

Answer 13

Thanks!